6x+3y=1;y=-2x+1

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Remember to put linear equations with variables x and y.
for example:
2x+y=8
x+3y=14

Solution for 6x+3y=1;y=-2x+1 system of equations: 


  • /| 6*x+3*y-1 = 0| y-(-2*x)-1 = 0
  • We try to solve the equation: 6*x+3*y-1 = 0
  • 6*x+3*y-1 = 0 // - 6*x-1
  • 3*y = -(6*x-1) // : 3
  • y = (-(6*x-1))/3
  • y = (1-(6*x))/3
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (1-(6*x))/3-(-2*x)-1 = 0| y = (1-(6*x))/3
  • (1-6*x)/3+2*x-1 = 0
  • 1/3-1 = 0
  • -2/3 = 0
  • -2/3 = 0
  • x belongs to the empty set
  • The system of equations does not have any solution

 

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